Question 222350
<pre><font size = 4 color = "indigo"><b>

{{{(2/3)/(7/12)}}}{{{"-"}}}{{{2/7}}}{{{"+"}}}{{{1/4}}}
Write the first term as a division:

{{{2/3}}}{{{"÷"}}}{{{7/12}}}{{{"-"}}}{{{2/7}}}{{{"+"}}}{{{1/4}}}

Invert the {{{7/12}}} and change the division sign before it
to a multiplication sign:

{{{2/3}}}{{{"×"}}}{{{12/7}}}{{{"-"}}}{{{2/7}}}{{{"+"}}}{{{1/4}}}

Cancel the 3 into the 12 getting {{{4}}}

{{{2/cross(3)}}}{{{"×"}}}{{{(""^4cross(12))/7}}}{{{"-"}}}{{{2/7}}}{{{"+"}}}{{{1/4}}}

Multiply the 2 by the 4, getting 8, and put that over 7
for the first term:

{{{8/7}}}{{{"-"}}}{{{2/7}}}{{{"+"}}}{{{1/4}}}

Combine the first two terms {{{8/7-2/7}}} which gives {{{6/7}}}

{{{6/7}}}{{{"+"}}}{{{1/4}}}

The least common denominator of {{{7}}} and {{{4}}} is {{{28}}}

So we multiply {{{6/7}}} by {{{4/4}}} and get {{{24/28}}}
and we multiply {{{1/4}}} by {{{7/7}}} and get {{{7/28}}}

{{{24/28}}}{{{"+"}}}{{{7/28}}}

Now add the numerators getting {{{31}}} and place that
over the LCD of {{{28}}}

{{{31/28}}}

If your teacher accepts improper fractions, leave it like
that, or change it to a mixed number

{{{1&3/28}}}

Edwin</pre>